In this paper I discuss Aristotle's three counterexamples to his thesis that quantities have not contraries in Categories 6. The focus is on the third counterexample, set out in 6a11-18, where it is suggested that place has contraries. The view of some people that there are two contrary regions of the universe, one called "up" and the other called "down", is adduced and briefly discussed. I attempt to determine who these people are, what exactly their view is, and what is Aristotle's attitude towards that view in the Categories. I argue that Aristotle is adducing the same popular view that Plato criticised in the Timaeus (62c8-d6), and that he invites the reader to reject the third counterexample to this thesis that quantities have no contraries in the same way, and at the same high cost, as he refuted the first two counterexamples.